Solving Compound Inequalities

8th GradeMath45 min

Learning Objective

I can solve compound inequalities and graph the solutions on a number line.

Lesson Flow

Watch Video

12 min

Compound inequalities | Linear inequalities | Algebra I | Khan Academy

Khan Academy

Guided Notes

9 min

Key concepts students will learn:

  • A compound inequality has more than restriction on the set of x's that satisfy the equation.

  • When solving compound inequalities with 'and', the solution must satisfy both inequalities, while with 'or', the solution must satisfy at least one inequality.

  • Interval notation uses brackets to include the endpoint and parentheses to exclude the endpoint in the solution set.

Practice

14 min

7 questions • Short answer

Exit Ticket

5 min

Solve the compound inequality and graph the solution on a number line: -3 ≤ x + 1 < 5. Show all steps.

Teacher Guide

Get the complete package:

  • Answer keys for all questions
  • Differentiation strategies
  • Extension activities
  • Printable student handouts